All of the 50 States have connections with each other. If you are looking for a specific type of connection, please reask the question with more specificity.
Louisiana is South East of Colorado
Louisiana.
Colorado because it has more snow than Louisiana.
Most of it was a part of the Louisiana Purchase.
In part through the Louisiana Purchase.
Purchased it with the Louisiana Purchase
According to Google maps it is 1069 miles.
Louisiana, New Mexico, & Colorado
North West
Much of Colorado was included in the lands acquired in the Louisiana Purchase.
Which part of Louisiana receives the least precipitation
The boiling point of any substance, including water, is dependent on two things, the temperature and the pressure. Water will boil if the temperature is high enough, or if the pressure is low enough. Colorado is at a higher altitude than Louisiana, so there is less air pressure in Colorado. The lower pressure in Colorado means that not as high of a temperature is required to bring water to a boil than in Louisiana. (New Orleans is in Louisiana, so they can be treated as the same place in this case). The result is that boiling point of water in Louisiana is about 212 degrees Fahrenheit, while it is about 202 degrees Fahrenheit in Colorado. Notice that the water in Colorado is boiling at a lower temperature. More time is require to cook it because the water that it is being cooked in is not as hot as the boiling water in Louisiana.